Q. Express as a function of a DIFFERENT angle, 0∘≤θ<360∘.cos(126∘)cos(□∘)
Understand reference angles: Understand the concept of reference angles. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between 0∘ and 90∘ and is found by looking at the angle's position in relation to the nearest x-axis.
Determine angle quadrant: Determine the quadrant in which the angle lies.The angle 126∘ lies in the second quadrant, where the cosine function is negative.
Find reference angle: Find the reference angle for 126°.To find the reference angle, subtract the angle from 180° because it is in the second quadrant.Reference angle = 180°−126°=54°
Express using reference angle: Express cos(126°) using its reference angle.Since cosine is negative in the second quadrant and the reference angle is 54°, we can express cos(126°) as −cos(54°).
More problems from Sin, cos, and tan of special angles